Prafull Kumar Mehta posted an Question
August 09, 2020 • 19:10 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Q.5 let the function f(x) be defined by flx)= i5 rational e is irratic nal tor x in (0, 1). then (a) f is continuous at every point in (0, 1) (b) f is discontin

Q.5 Let the function f(x) be defined by flx)= I5 rational e is irratic nal tor x in (0, 1). Then (A) f is continuous at every point in (0, 1) (B) f is discontinuous at every point in (0. ) (C) f is discontinuous only at one point in (0, 1) (D) is contimuous only at one point in (0, 1)

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    Harsh Saxena

    Hence option D is correct

    cropped6885054962379297990.jpg
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    ok

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    explain why you equate?

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    When function has two value one at rational and one at irrational then we equate the value to determine that point where they are actually equal or continuous

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    why

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    so that function may not change its value while x changes from rational to irrational

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    this the reason

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    ok

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    👍

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    but its not complete proof

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    its formula.

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